Oscillation criteria for functional dynamic equations with nonlinearities given by Riemann-Stieltjes integral
Summary: We present new oscillation criteria for the second order nonlinear dynamic equation \([r(t) \phi_\gamma(x^{\Delta}(t))]^{\Delta} + q_0(t) \phi_\gamma(x(g_0(t))) + \int_a^b q(t, s) \phi_{\alpha(s)}(x(g(t, s))) \Delta \zeta(s) = 0\) under mild assumptions. Our results generalize and improve some known results for oscillation of second order nonlinear dynamic equations. Several examples are worked out to illustrate the main results.
scientific article; zbMATH DE number 7022902